Computer Aided Geometric Design
Degenerate Be´zier patches with continuous curvature
Computer Aided Geometric Design
C2 free-form surfaces of degree (3,5)
Computer Aided Geometric Design
A simple manifold-based construction of surfaces of arbitrary smoothness
ACM SIGGRAPH 2004 Papers
Second order smoothness over extraordinary vertices
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Modified subdivision surfaces with continuous curvature
ACM SIGGRAPH 2006 Papers
Concentric tessellation maps and curvature continuous guided surfaces
Computer Aided Geometric Design
Computing - Special issue on Geometric Modeling (Dagstuhl 2005)
Constructing curvature-continuous surfaces by blending
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Pairs of bi-cubic surface constructions supporting polar connectivity
Computer Aided Geometric Design
Computer Aided Geometric Design
ACM SIGGRAPH 2009 papers
Finite Curvature Continuous Polar Patchworks
Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII
G2 tensor product splines over extraordinary vertices
SGP '08 Proceedings of the Symposium on Geometry Processing
| Hi-index | 0.00 |
A polar configuration is a triangle fan in a quad-dominant mesh; it allows for many mesh lines to join at a single polar vertex. This paper shows how a single tensor-product spline of degree (3,6) can cap a polar configuration with a C^2 surface. By design, this C^2 polar spline joins C^2 with surrounding bi-3 tensor-product splines and thereby complements algorithms that smoothly cap star-like, multi-sided regions.